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Finding the Third Proportional to 51,932,034 and 112,481,759

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Solution

The third proportional to 51,932,034 and 112,481,759 is: 243,628,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932,034 : 112,481,759 = 112,481,759 : x
  2. Step 2: Convert to fraction form
    51,932,034/112,481,759 = 112,481,759/x
  3. Step 3: Cross multiply
    51,932,034x = 112,481,759 × 112,481,759
  4. Step 4: Simplify right side
    51,932,034x = 12,652,146,107,734,080
  5. Step 5: Solve for x
    x = 12,652,146,107,734,080/51,932,034
  6. Step 6: Final answer
    x = 243,628,934.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.